201430202082928 has 720 divisors, whose sum is σ = 532960603650720. Its totient is φ = 72895334400000.

The previous prime is 201430202082919. The next prime is 201430202082953. The reversal of 201430202082928 is 829280202034102.

It is a super-3 number, since 3×201430202082928³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 111843531628 + ... + 111843533428.

It is an arithmetic number, because the mean of its divisors is an integer number (740223060626).

Almost surely, 2^{201430202082928} is an apocalyptic number.

201430202082928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201430202082928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266480301825360).

201430202082928 is an abundant number, since it is smaller than the sum of its proper divisors (331530401567792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201430202082928 is a wasteful number, since it uses less digits than its factorization.

201430202082928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 201430202082928 in words is "two hundred one trillion, four hundred thirty billion, two hundred two million, eighty-two thousand, nine hundred twenty-eight".